Article
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Degenerate Daehee Numbers of the Third Kind
Version 1
: Received: 22 September 2018 / Approved: 24 September 2018 / Online: 24 September 2018 (10:22:32 CEST)
A peer-reviewed article of this Preprint also exists.
Pyo, S.-S.; Kim, T.; Rim, S.-H. Degenerate Daehee Numbers of the Third Kind. Mathematics 2018, 6, 239. Pyo, S.-S.; Kim, T.; Rim, S.-H. Degenerate Daehee Numbers of the Third Kind. Mathematics 2018, 6, 239.
Abstract
In this paper, we define new kind of Daehee numbers, the degenerate Daehee numbers of the third kind, using degenerate log function as generating function. We obtain some identities for the degenerate Daehee numbers of the third kind associated with the Daehee, degenerate Daehee and degenerate Daehee numbers of the second kind. In addition, we derive a differential equation associated with the degenerate log function. We deduce some identities from the differential equation.
Keywords
degenerate log function; degenerate Daehee numbers of the thirdkind; nonlinear differential equation.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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